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Finding the Third Proportional to 118,497 and 263,238

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Solution

The third proportional to 118,497 and 263,238 is: 584,776.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,497 : 263,238 = 263,238 : x
  2. Step 2: Convert to fraction form
    118,497/263,238 = 263,238/x
  3. Step 3: Cross multiply
    118,497x = 263,238 × 263,238
  4. Step 4: Simplify right side
    118,497x = 69,294,244,644
  5. Step 5: Solve for x
    x = 69,294,244,644/118,497
  6. Step 6: Final answer
    x = 584,776.36

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.